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Search: id:A107034
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| A107034 |
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Expansion of q^(-5/24) eta(q)eta(q^4) in powers of q. |
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+0 2
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| 1, -1, -1, 0, -1, 2, 1, 1, -1, 0, 1, -1, -1, -1, 0, -2, 1, 0, 0, 1, 2, -1, 0, 1, 0, 1, 0, 1, 1, -1, -3, 0, -1, 1, -1, -1, 0, 0, 0, 1, -2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, -1, 1, -3, 0, 1, 0, -1, -1, 0, 1, 0, 0, -2, 0, -1, -1, 0, -2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, -1, 1, 0, 2, -1, 0, 2, -1, -2, 0, 1, 1, 0, 2, -1, -1, -1, -1, 0, 0, 0, -1, 0
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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H. Kahl, G. Koehler, Components of Hecke theta series, J. Math. Anal. Appl. 232 (1999), no. 2, 312-331, see page 320. MR1683136 (2000e:11051)
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FORMULA
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Euler transform of period 4 sequence [ -1, -1, -1, -2, ...].
G.f. Product_{k>0} (1-x^k)(1-x^(4k)).
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PROGRAM
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(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x+A)*eta(x^4+A), n))}
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CROSSREFS
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Sequence in context: A037801 A053252 A117195 this_sequence A117410 A087810 A052314
Adjacent sequences: A107031 A107032 A107033 this_sequence A107035 A107036 A107037
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KEYWORD
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sign
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AUTHOR
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Michael Somos, May 09 2005
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